Cremona's table of elliptic curves

113398 = 2 · 31² · 59

Class	r	Atkin-Lehner	Eigenvalues
113398a (1 curve)	0	2+ 31- 59+	2+  1 -3 -1  2  2  2  3
Curve Equation t 113398a1 [1,0,1,460,-21650] 1
113398b (1 curve)	1	2+ 31- 59-	2+  2  0 -5 -3  1 -5 -6
Curve Equation t Generators 113398b1 [1,1,0,-24525,2421437] 1 [-3057:53903:27]
113398c (1 curve)	1	2+ 31- 59-	2+ -2  2 -3 -1 -3  1 -8
Curve Equation t Generators 113398c1 [1,0,1,53315,6415128] 1 [-786:4233:8]
113398d (1 curve)	1	2- 31- 59+	2-  0  4  0  0 -2 -6 -5
Curve Equation t Generators 113398d1 [1,-1,1,-199588,53454919] 1 [659:14085:1]
113398e (2 curves)	1	2- 31- 59+	2-  1  1  3 -2  6  2 -5
Curve Equation t Generators 113398e1 [1,0,0,-24045,-1479727] 1 [8698:806735:1] 113398e2 [1,0,0,110495,75342613] 1 [133424888891910:12384565296537449:15345434125]
113398f (3 curves)	1	2- 31- 59+	2-  2  0 -1  3 -5  3  2
Curve Equation t Generators 113398f1 [1,1,1,-38654323,-92601318095] 1 [1550778:102857:216] 113398f2 [1,1,1,47451277,-419382402767] 1 [2037746069453506434:770214485798410397:374462370618552] 113398f3 [1,1,1,-432779643,12199593764897] 1 [-10445571423224857953760163786099364185253286740231013542:31836976514089564356734641145919541478769260274490834265:358099399971131288188490215332780200687482681363032]
113398g (2 curves)	1	2- 31- 59+	2- -2 -2  0  4  0  2 -8
Curve Equation t Generators 113398g1 [1,0,0,294046,-225305276] 2 [454:1122:1] 113398g2 [1,0,0,-4241874,-3096542636] 2 [454046:-306173478:1]
113398h (1 curve)	1	2- 31- 59+	2- -2 -2 -3  1  3 -7  4
Curve Equation t Generators 113398h1 [1,0,0,-3864,93430] 1 [454:1695:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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